Which of the following functions has a maximum y value of 4?y = cos x + 4y = cos( x + 4)y = 4cos xy = cos4 xNEXT QUESTION

To find the function that has a maximum y value of 4, we need to analyze each of the given options step by step.

1. y = cos x + 4: This function is a cosine function shifted vertically by 4 units. The maximum value of the cosine function is 1, so adding 4 to it will give a maximum y value of 5. Therefore, this function does not have a maximum y value of 4.

2. y = cos(x + 4): This function is a cosine function shifted horizontally by 4 units. Shifting the cosine function horizontally does not affect its maximum value, which is 1. Therefore, this function also does not have a maximum y value of 4.

3. y = 4cos x: This function is a cosine function scaled vertically by a factor of 4. The maximum value of the cosine function is 1, so multiplying it by 4 will give a maximum y value of 4. Therefore, this function has a maximum y value of 4.

4. y = cos4 x: This function is a cosine function raised to the power of 4. Raising the cosine function to a power does not affect its maximum value, which is 1. Therefore, this function also does not have a maximum y value of 4.

In conclusion, the function y = 4cos x has a maximum y value of 4.